2 Answers
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I'm not sure is Dvorak is available on stock firmware for Optimus V, but there are many 3rd-party keyboard apps on the Market that have it (some require a separate download via a plugin.)

Once installed, activate it by going to Menu -> Settings -> Language & keyboard, and marking the checkbox next to the newly installed keyboard app. Then bring up any text field (e.g. Google Search) and long-press it. Tap on the "Input method" menu item, and you will be presented with the list of all currently installed and enabled keyboard apps. Select the one which has Dvorak layout and you will immediately be able to use it.